Non-Turing Instability with General Diffusion and Flow Rates in Selkov Model

The reaction-diffusion-convective equations with general diffusion and flow rates for Selkovmodel are established. Non-Turing instability (NTI) and its parameters space for the system are studied. Compared with the results by Andresen , the condition for the occurrence of non-Turing instability is extended. The stationary spatial periodic structures still exist outside the oscillatory Hopf domain. Therefore, the parameters space where NTI exists in this case is bigger than those by Andresen. Meanwhile, the relations of the parameters space of NTI with those of Tu ring instability and differential flow-induced instability are comparatively studied. It is shown that dynamical mechanism is caused by differential flow-induced instability (DIFI) instability, and DIFI is the necessary condition for flow-distributed structure (FDS) to occur.